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1036101220 = 2257112311973
BaseRepresentation
bin111101110000011…
…010011001100100
32200012121101200021
4331300122121210
54110220214340
6250451124524
734450500160
oct7560323144
92605541607
101036101220
11491941200
1224aba3744
1313686a25b
149b867ca0
1560e62e4a
hex3dc1a664

1036101220 has 144 divisors (see below), whose sum is σ = 2822851584. Its totient is φ = 312364800.

The previous prime is 1036101197. The next prime is 1036101221. The reversal of 1036101220 is 221016301.

1036101220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10361012203 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1036101194 and 1036101203.

It is not an unprimeable number, because it can be changed into a prime (1036101221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524154 + ... + 526126.

It is an arithmetic number, because the mean of its divisors is an integer number (19603136).

Almost surely, 21036101220 is an apocalyptic number.

1036101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411425792).

1036101220 is an abundant number, since it is smaller than the sum of its proper divisors (1786750364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1036101220 is a wasteful number, since it uses less digits than its factorization.

1036101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1036101220 is about 32188.5262166506. The cubic root of 1036101220 is about 1011.8917653622.

Adding to 1036101220 its reverse (221016301), we get a palindrome (1257117521).

The spelling of 1036101220 in words is "one billion, thirty-six million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 121 124 140 154 155 217 220 242 308 310 341 385 434 484 605 620 682 770 847 868 1085 1210 1364 1540 1694 1705 1973 2170 2387 2420 3388 3410 3751 3946 4235 4340 4774 6820 7502 7892 8470 9548 9865 11935 13811 15004 16940 18755 19730 21703 23870 26257 27622 37510 39460 43406 47740 52514 55244 61163 69055 75020 86812 105028 108515 122326 131285 138110 151921 217030 238733 244652 262570 276220 303842 305815 428141 434060 477466 525140 607684 611630 672793 759605 856282 954932 1193665 1223260 1345586 1519210 1671131 1712564 2140705 2387330 2691172 3038420 3342262 3363965 4281410 4709551 4774660 6684524 6727930 7400723 8355655 8562820 9419102 13455860 14801446 16711310 18838204 23547755 29602892 33422620 37003615 47095510 51805061 74007230 94191020 103610122 148014460 207220244 259025305 518050610 1036101220